Space of modular forms of level 2695, weight 2, and Character 2695.o

• Label: 2695.2.o
• Level: $2695$
• Weight: $2$
• Character orbit: 2695.o
• Rep. character: $\chi_{2695}(1979,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $464$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 2695 = 5 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2695.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 385 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2695, [\chi])\).

	Total	New	Old
Modular forms	704	496	208
Cusp forms	640	464	176
Eisenstein series	64	32	32

Trace form

\( 464 q - 220 q^{4} - 220 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2695, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2695, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \)